Free Printable Inequalities Finals Review

1.

Which is not a solution for the inequality below?
$w\ge-2.5$

a)

$-\frac{1}{2}$

b)

$-3\ \frac{1}{2}$

c)

$2\ \frac{1}{2}$

d)

$-1$

2.

Consider the inequality $\frac{3x+2}{4}>-20$
What is the solution to the inequality?

a)

$x>-29.3$

b)

$x>-27.3$

c)

$x>-8.7$

d)

$x<-27.3$

3.

The table above reflects the prices to enter the Georgia State Fair and ride the rides.

Cynthia’s mom gave her $40.00 to spend at her friend’s birthday party on Friday night at the fair. Which inequality represents the admission fee and the number of rides, r, Cynthia can ride to remain within her budget?

a)

$1.25x\ +\ 15\le\ 40$

b)

$1.50x\ +\ 15<\ 40$

c)

$1.25x\ +\ 15\ <\ 40$

d)

$1.50x\ +\ 15\ \le\ 40$

4.

Less than or equal to

a)

<

b)

>

c)

≤

d)

≥

5.

8x ≥ -32

a)

x ≥ -4

b)

x ≥ 4

c)

x ≤ -4

d)

x ≥ 4

6.

Greater than

a)

<

b)

>

c)

≤

d)

≥

7.

a)

x is less than or equal to -2

b)

x < -2

c)

-2 < x

d)

x is greater than -2

8.

a)

x > 1

b)

1 ≥ x

c)

x is greater than or equal to 1

d)

x is less than or equal to 1

9.

Which graph represents the inequality 6 > x

a)

A

b)

B

c)

C

d)

D

10.

Pick the correct inequality.

a)

x < -6

b)

x ≥ -6

c)

x > -6

d)

x ≤ -6

11.

When graphing an inequality, you use an OPEN dot when you use which symbol?

a)

<, >

b)

≤, ≥

c)

≤, <

d)

≥, >

12.

When you graph an inequality, you used a CLOSED dot when you use which symbols?

a)

≤, ≥

b)

<, >

c)

≤, <

d)

≥, >

13.

You and your friend are planning to walk across an old bridge. The bridge can hold at most 1000 pounds. The total weight of the people currently on the bridge is 675 pounds. You weigh 156 pounds.Write and solve an inequality that represents how much your friend can weigh within the limits of the bridge.

a)

X ≤ 169

b)

X < 169

c)

X < 156

d)

X > 156

14.

You order a new pair of running shoes from a website that offers free shipping on orders of $75 or more. Your shoes cost $69.95. Write and solve an inequality that represents how much more you must spend to get free shipping.

a)

X > 5.05

b)

X ≥ 5. 05

c)

X > 69.95

d)

X ≥ 69.95

15.

Which of the following inequalities would require you to flip the sign when solving?

a)

2x < 3

b)

3x > - 9

c)

-4x ≥ 10

d)

5x ≤ 15

16.

Solve:
-4(-7-5x) > 188

a)

x < -32

b)

x > -32

c)

x < 8

d)

x > 8

17.

Melissa wants to spend no more than $300 on school clothes. She spends $75 on a coat and then wants to buy some sweaters that are on special for $10 each. Write an inequality to show how many sweaters Melissa can buy. DO NOT SOLVE

a)

75x-10 ≥ 300

b)

75+10 ≤ 300x

c)

10x ≥ 300

d)

75+10x ≤ 300

18.

Mr. Gomez gets a notice from the bank when the amount in his checking account drops below $20. Which represents an amount that will require the bank to send a notice?

a)

$18

b)

$19

c)

$20

d)

$21

e)

$22

19.

Which scenario could be represented by the graph?

a)

The temperature is less than -1 degree.

b)

The temperature is more than -1 degree.

c)

The temperature is at most -1 degree.

d)

The temperature is at least -1 degree.

20.

The keywords "at least" are used with which of the following symbols?

a)

≥

b)

≤

c)

>

d)

<

21.

The keywords "at most" are used with which of the following symbols?

a)

≤

b)

>

c)

<

d)

≥

22.

Solve and graph.
p - 3 > -8

a)

A

b)

B

c)

C

d)

D

23.

Solve and graph.
k - 13 > -51

a)

A

b)

B

c)

C

d)

D

24.

What inequality does the number line graph represent?

a)

x ≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ -3

Inequalities Finals Review

Total questions: 24

Worksheet time: 2hrs 49mins

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